Math 12 - Practice Test - Chapters 4, 5, 6
1. When you add an odd number to another odd number does the sum equal an odd
number or an even number? Show why your answer is true by using rectangles with two
rows to represent odd and even numbers.
2. Calculate to find the number of factors of 100.
3. List the factors of 100.
4. Is 9 a factor or multiple of 45
5. Is 36 a factor or multiple of 6
6. Place a digit in the blank, so that the number 514,7__2 is divisible by 4 and divisible
by 8.
7. State the divisibility rule for 3 and 9 and provide an example.
8. Can 225 passengers be assigned to 3 flights so that each figure has the same
number of passengers?
9. Determine whether the following numbers are prime, composite, or neither: 15, 1, 41
10. Find the prime factorization of the number 2205 using a factor tree, and write it in
exponent notation.
11. Find the prime factorization of the numbers 50 and 70, then find the LCM and GCF
using sets
12. Three alarm clocks sound at different intervals. Clock A goes off every 10 minutes,
clock B every 15 minutes, and clock C every 20 minutes. The three clocks sound
together every _______ minutes.
Math 12 - Practice Test - Chapters 4, 5, 6
13. You have 24 silver coins and 36 gold coins. You want to place the gold coins and the
silver coins in stacks so that there are the same number of coins in each stack. What is
the greatest number of coins that you can place in each stack?
14. Use a number line to add 5 + (– 8). Circle the answer on the number line
15. Use a charged field to model the difference: – 4 – 2.
16. Use a chip model to find the following: – 4 + (–5)
17. Calculate the following: – | –8 – ( – 1)|
18. Write the subtraction as an addition: 38 – ( – 7 )
19. Kyleʼs credit card bill is $486. Kyle sends a check to the credit card company for
$45, charges another $160 in merchandise, and then pays off another $274 of the bill.
How much does Kyle owe the company? Provide a chart to support your calculations.
20. A mountain with a base 8,666 feet below sea level rises 18,644 feet. What is the
elevation above sea level of its peak? Provide a sketch to support your calculations.
21. The highest temperature ever recorded in a certain town was 94˚ Fahrenheit. The
lowest temperature ever recorded there was –20˚ Fahrenheit. What is the difference
between these two temperatures?
22. Order from smallest to largest. 9, 5, – 9, – 3, – 5, – 6, 2, 3.
23. Determine the common difference and the next two terms of the arithmetic
sequence: 10, 8, 6, 4, . . .
24. Use a number line to model ( 3 )·( – 2 ).
25. Use a charged field to model ( 3 )·( – 2 ).
Math 12 - Practice Test - Chapters 4, 5, 6
26. A parachutist descends 132 ft in 12 seconds. Use a signed number to find the
average rate at which his position is changing.
27. For each of three months you have been mistakenly charged a $13 bank fee. After a
phone call, they continue to overcharge you by $5 for each of two more months. How
much did the bank overcharge you?
28. Provide a model that represents the fraction 5/3.
29. Use a rectangular model to show that 2/4 is equivalent to 4/8.
30. Demonstrate which is larger 0.6 or 0.21 using a decimal square.
31. Show how to find an equivalent fraction for the rational number, –4/9.
32. Write the fraction, 7/8, as a terminating decimal.
33. Write the decimal, 39.36, as a fraction in lowest terms.
34. Write 4.062 in expanded form.
35. Place the following rational numbers from smallest to largest:
"
3/4, 0.15, 3/10, 0.78, 1/3.
36. Write 21/2 as an improper fraction.
37. Write 34/11 as a mixed number.
38. Write the number, 0.000911 in scientific notation.
39. Convert 7.20 x 107 to standard notation.
Math 12 - Practice Test - Chapters 4, 5, 6
40. Identify the multiplicative inverse for 6 7/8.
41. Use the complex fraction method to show how this method can be used to divide the
following fraction and how it validates dividing by multiplying by the reciprocal of the
divisor: 2 1/6 ÷ 2 1/7.
42. Demonstrate (3/8)·(2/3) by folding a sheet of paper.
43. Annie must send two packages. One of the packages weighs 12 3/10 lb and the
other weighs 6 2/5 lb. What is the total weight of the two packages? Provide a sketch to
support your calculations.
44. Peter must practice the piano 6.5 hours per week. He has already practiced 3.75
hours. How many more hours does he need to practice? Provide a sketch to support
your calculations.
45. The floor of a rectangular room is to be tiled with 1/3 foot square tiles along a 6 7/8
foot wall. How many tiles will be needed along the wall? Provide a sketch to support
your calculations.
46. A stockbroker sold 60 shares of stock for $47.13 each. What was the total amount of
the sale? Provide a sketch to support your calculations.
47. The distance from the downtown station to the last stop on a commuter railroad line
is 12 miles. The distance between stops is about 2.4 miles. How many stops are
there? Provide a sketch to support your calculations.
48. A childʼs dose of medicine is 1/6 of a pre-measured dose cup. If the bottle of
medicine is the size of 6 dose cups, how many childrenʼs doses are there in the bottle?
Provide a sketch to support your calculations.
49. Find a number between 4.4 and 4.45.
50. Change the repeating decimals to fraction form: 0.5868686..., 4.54545..., 0.7777...